Question

Using long division method find the value of √2 and √3 correct to one place of decimal hence evaluate √12 + √18​

Answer 1

Refer to the attachment above for details..

Hope this helps you ❤️

Answer 2

Answer:

By Pythagoras theorem,

AB

2

=AC

2

+BC

2

⇒AC

2

=AB

2

−BC

2

⇒AC

2

=29

2

−21

2

=(29+21)(29−21)=50×8

⇒AC

2

=25×16

⇒AC=5×4=20 units

⇒cosθ=

AB

BC

=

29

21

,

sinθ=

AB

AC

=

29

20

⇒sin2θ+cos

2

θ=

29

2

21

2

+20

2

=

29

2

29

2

=1

⇒cos

2

θ−sin

2

θ=

29

2

21

2

−20

2

=

841

41

.

solution